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        A modified JFNK with line search method for solving k-eigenvalue neutronics problems with thermal-hydraulics feedback

        Liu Lixun,Zhang Han,Wu Yingjie,Liu Baokun,Guo Jiong,Li Fu 한국원자력학회 2023 Nuclear Engineering and Technology Vol.55 No.1

        The k-eigenvalue neutronics/thermal-hydraulics coupling calculation is a key issue for reactor design and analysis. Jacobian-free Newton-Krylov (JFNK) method, featured with super-linear convergence rate and high efficiency, has been attracting more and more attention to solve the multi-physics coupling problem. However, it may converge to the high-order eigenmode because of the multiple solutions nature of the k-eigenvalue form of multi-physics coupling issue. Based on our previous work, a modified JFNK with a line search method is proposed in this work, which can find the fundamental eigenmode together with thermal-hydraulics feedback in a wide range of initial values. In detail, the existing modified JFNK method is combined with the line search strategy, so that the intermediate iterative solution can avoid a sudden divergence and be adjusted into a convergence basin smoothly. Two simplified 2-D homogeneous reactor models, a PWR model, and an HTR model, are utilized to evaluate the performance of the newly proposed JFNK method. The results show that the performance of this proposed JFNK is more robust than the existing JFNK-based methods

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        Characteristics and formation mode of salt-bearing series in typical rift valley basin, eastern China

        Yanjun Zhao,Chenglin Liu,Hua Zhang,Licheng Wang,Baokun Liu,Fenglin Lv 한국지질과학협의회 2015 Geosciences Journal Vol.19 No.1

        The Shulu Sag is a typical rift valley basin in easternChina, where the formation mechanism of Cenozoic salt-bearingseries has been poorly understood. In this paper, petrologic analysis,X-ray powder Diffraction (XRD) analysis and the analysis ofhalite ion concentrations of the first member of the Shahejie Formationfrom two drilling cores were conducted to interpret theformation mechanism of these salt-bearing series in Shulu Sag. Theresults indicated that the salt-bearing series is mainly composed of calcilutiteor mudstone at top and bottom, and anhydrite-bearing haliteand thin interbeds of salt-bearing calcilutite and dark grey shale inthe middle part. These thin interbeds with porphyritic or petalshapedglauberite crystals or some thinner dark grey shale interbedsseparated halites into several members with the average thicknessof only 9~12 cm in the two drilling holes. This typical rhythmicpattern due to frequent alternation of concentration was evidencedby the variation of chemical composition and hydrogen isotopes ofhalite fluid inclusions. The presence of large number of primaryfluid inclusions within chevron crystals and vertically orientedbottom-growth crystals showed that the halite were precipitated inshallow water (<60 cm). These features are direct evidence for thisfrequent alternation of dissolution and concentration of brines andterrigenous detrital-chemical shallow-water sedimentary model ofthese small rift-valley basins in eastern China.

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